A metal rod of length l and cross-sectional area a is heated through t c. What is the force required to prevent the expansion of the rod lengthwise? [y = youngs modulus of the material of rod, = coefficient of linear expansion
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The force required to prevent the expansion of the rod lengthwise is
F = YAαt
Explanation:
We know that
Young's modulus "Y" = F.L/ AΔl ----- (1)
Δl = αlt -----(2)
F = YAαlt / L
F = YAαt
Hence the force required to prevent the expansion of the rod lengthwise is
F = YAαt
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